39683725448004 has 135 divisors (see below), whose sum is σ = 110354836203885. Its totient is φ = 12023985457440.

The previous prime is 39683725447999. The next prime is 39683725448027. The reversal of 39683725448004 is 40084452738693.

The square root of 39683725448004 is 6299502.

It is a perfect power (a square), and thus also a powerful number.

39683725448004 is a `hidden beast` number, since 3 + 9 + 6 + 8 + 3 + 7 + 2 + 544 + 80 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10413980784900 + 29269744663104 = 3227070^2 + 5410152^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 4573434114 + ... + 4573442790.

Almost surely, 2^{39683725448004} is an apocalyptic number.

39683725448004 is the 6299502-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39683725448004

39683725448004 is an abundant number, since it is smaller than the sum of its proper divisors (70671110755881).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

39683725448004 is an frugal number, since it uses more digits than its factorization.

39683725448004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17408 (or 8693 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 63.

The spelling of 39683725448004 in words is "thirty-nine trillion, six hundred eighty-three billion, seven hundred twenty-five million, four hundred forty-eight thousand, four".